Download Fourier Transform Spectrometry by Sumner P. Davis PDF

By Sumner P. Davis

Content material:
Preface

, Pages xiii-xiv
1 - Introduction

, Pages 1-16
2 - Why selected a fourier rework spectrometer?

, Pages 17-27
3 - thought of the right instrument

, Pages 29-39
4 - Fourier analysis

, Pages 41-66
5 - Nonideal (real-world) interferograms

, Pages 67-80
6 - operating with electronic interferograms, fourier transforms, and spectra

, Pages 81-99
7 - section corrections and their significance

, Pages 101-117
8 - results of noise in its numerous forms

, Pages 119-141
9 - Line positions, line profiles, and line fitting

, Pages 143-168
10 - Processing of spectral data

, Pages 169-177
11 - Discussions, interventions, digressions and obscurations

, Pages 179-212
12 - Chapter-by-chapter bibliography

, Pages 213-222
13 - Chronological bibliography

, Pages 223-231
14 - purposes Bibliography

, Pages 233-242
15 - writer Bibliography

, Pages 243-258
Index

, Pages 259-262

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Extra resources for Fourier Transform Spectrometry

Example text

The beams are reflected by mirrors and recombined by a second beamsplitter unit, the recombiner, into a single beam, which is focused onto a detector placed at the balanced output position in the figure. In the plane of the detector the interference pattern is a set of focused circular rings calledyrm^^^". How many fringes are detected depends on the size of the exit pupil (the image of the entrance aperture) and on the wavenumber and difference in path length of the two interfering beams. The size of the entrance aperture is adjusted so that the central fringe at maximum path difference just fills the exit pupil where the detector is placed.

This is an example of a linear system that we described by the expression (Eq. 8) /•OO I{x)= B(a) COS {27rax) da. 6) Each frequency a has a spectral intensity B{a) that defines the scale factor for that frequency and produces a cosine of spatial frequency 27Tax. The combined interference I(x) at a position x is defined by the integral over all frequencies. The additive and homogeneous properties of a linear system are necessary conditions for this relation, and, as already mentioned, the time invariance is assumed.

2 The Unbalanced Output What about the second output? We can simply note that if no energy is lost in the beamsplitter or recombiner, the outputs are complementary, and energy not appearing at the balanced output must be at the unbalanced output. For unit input. 5) Since both outputs contain the desired information (half the photons go in each path), we combine them appropriately by taking their difference. 2). There is yet another advantage to having two outputs. Their sum is a measure of the total intensity of the source, which may vary slowly in time.

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